The efficient detection of the reversal (180$^{ \circ}$ rotation) of the N\'{ e}el vector is one of the crucial tasks in antiferromagnetic spintronics. Here, we propose a thermal approach to detect the reversal of the N\'{ e}el vector in the tetragonal $\mathcal{ PT}$ antiferromagnetic materials through the unidirectional Seebeck effect (USE). Being different from the previous works in which USE stems from the global Rashba spin-orbit coupling (SOC) or asymmetric magnon scattering, we find that the USE originates from the coupling of the hidden Rashba SOC and the N\'{ e}el vector in the tetragonal $\mathcal{ PT}$ antiferromagnetic materials in the absence of the global Rashba SOC. Using a generic minimal model, we analyse the behaviors of the USE for the two-dimensional tetragonal lattice $\mathcal{ PT}$ antiferromagnet. Importantly, It's found that when the N\'{ e}el vector is reversed, the sign of the USE changes, which can be utilized to detect the reversal of the N\'{ e}el vector.
Categories: cond-mat.mes-hall